On one homogeneous problem for the heat equation in an infinite angular domain

DOI10.1134/S0037446615060038zbMath1334.35070MaRDI QIDQ259821

M. M. Amangalieva, Murat I. Ramazanov, Minzilya T. Kosmakova, Muvasharkhan T. Jenaliyev

Publication date: 18 March 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

heat conductionindexAbel equationVolterra equation

Mathematics Subject Classification ID

Heat equation (35K05)

Related Items (11)

Solution of the boundary value problem of heat conduction in a cone ⋮ On the solvability of the Burgers equation with dynamic boundary conditions in a degenerating domain ⋮ On the solvability of the Dirichlet problem for the heat equation in a degenerating domain ⋮ On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain ⋮ The resolvent and the particular solution of one singular integral equation ⋮ On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ ON THE SOLUTION TO A TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A DEGENERATE DOMAIN ⋮ On a boundary value problem for the heat equation and a singular integral equation associated with it ⋮ Two-dimensional boundary value problem of heat conduction in a cone with special boundary conditions ⋮ On linear and nonlinear heat equations in degenerating domains

Cites Work

• On a particular second kind Volterra integral equation with a spectral parameter
• Boundary value problems for a spectrally loaded heat operator with load line approaching the time axis at zero or infinity
• A nonlinear loaded parabolic equation and a related inverse problem
• Examples of the nonuniqueness of solutions of the mixed problem for the heat equation in unbounded domains
• Examples of the non-uniqueness of the solution of the boundary-value problem for a parabolic equation in an unbounded domain
• Uniqueness classes for solutions in unbounded domains of the first mixed problem for the equation $ u_t=Au$ with quasi-elliptic operator $ A$
• On uniqueness classes of the solutions of boundary-value problems for second-order parabolic equations in an unbounded domain
• On uniqueness classes of solutions of the first mixed problem for a quasi-linear second-order parabolic system in an unbounded domain
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